Q1: If L.H.S. = R.H.S. of an equation, then the equation will be (a) Balanced (b) Unbalanced (c) Constant (d) Wrong
Solution:
Ans: a Sol: An equation is said to be balanced when the value of the left-hand side (L.H.S.) is equal to the value of the right-hand side (R.H.S.). This equality means both sides represent the same number or expression for the given value(s) of the variable(s).
Q2: In an equation, there is always a/an (a) equality sign (=) (b) greater than sign (>) (c) less than sign (<) (d) division sign ( ∏)
Solution:
Ans: a Sol: An equation always contains an equality sign (=) because it shows that the expressions on both sides have the same value. The other signs (greater than, less than, division symbol) do not by themselves show equality.
Q3: The equation form of the given statement '6 less than a number is 13' will be (a) x - 6 = 13 (b) 6x = 13 (c) x - 13 = 6 (d) x= 13 - 6
Solution:
Ans: a Sol: Let x be the unknown number. "6 less than the number" means x - 6. So the statement becomes x - 6 = 13, which matches option (a).
Q4: If the sum of three consecutive even numbers is 78 then the numbers will be (a) 10, 12 an 14 (b) 16, 18 and 20 (c) 22, 24 and 26 (d) 24, 26 and 28
Solution:
Ans. d Sol: Let the three consecutive even numbers be x, x + 2 and x + 4. According to the question: x + (x + 2) + (x + 4) = 78 ⇒ 3x + 6 = 78 ⇒ 3x = 78 - 6 = 72 ⇒ x = 72 ÷ 3 = 24 Therefore the numbers are 24, 26, 28.
Q5: The statement form of the given equation 'x - 4 = 5' is (a) Taking away 5 from x gives 4 (b) Taking away 4 from 5 gives x (c) Taking away 4 from x gives 5 (d) Taking away 5 from 4 gives x
Solution:
Ans. c Sol: The equation x - 4 = 5 states that when 4 is taken away from x, the result is 5. Hence option (c) correctly represents the equation in words.
Q6: Subtract 7 from thrice a number the result is 8. The equation form of the above statement is (a) 7x - 2 = 8 (b) x - 2 = 7 (c) 3x - 7 = 8 (d) 2x - 8 = 7
Solution:
Ans: c Sol: Let the number be x. "Thrice a number" is 3x and "subtract 7 from thrice a number" gives 3x - 7. So the equation is 3x - 7 = 8 which is option (c). (If required, solve: 3x - 7 = 8 ⇒ 3x = 15 ⇒ x = 5.)
Q7: The statement form of the given equation '2x + 6 = 24' is (a) Twice a number is 24 increased by 6 (b) Twice a number increased by 6 is 24 (c) Twice a number is 24 and increased by 6 (d) Twice a number increased by 24 is 6
Solution:
Ans: b Sol:2x means "twice a number". Adding 6 gives 2x + 6, and the equation 2x + 6 = 24 reads as "twice a number increased by 6 is 24". Thus option (b) is correct.
Q8: For the equation 6p - 4 = 8, the solution will be (a) p = 1 (b) p = 2 (c) p = 3 (d) p = 4
Solution:
Ans: b Sol: Given: 6p - 4 = 8 Add 4 to both sides: 6p = 8 + 4 = 12 Divide both sides by 6: p = 12 ÷ 6 = 2 Thus p = 2, so option (b) is correct. You can verify: 6×2 - 4 = 12 - 4 = 8.
Q9: The value of a variable is (a) 0 (b) 1 (c) fixed (d) not fixed
Solution:
Ans: d Sol: The value of a variable is not fixed because it can represent different numbers in different situations. For example: if x = 3 in one case, x may be 6 in another equation where x - 4 = 2 (here x = 6). Therefore a variable can take different values depending on the equation or context.
Q10: Karan says that he has 6 balls more than five times the number of balls Sumit has. If Karan has 36 balls and Sumit has x number of balls, then the equation form for this statement is (a) 5x + 6 = 36 (b) 5x + 36 = 6 (c) 5x - 6 = 36 (d) 5x - 36 = 6
Solution:
Ans: a Sol: Let Sumit have x balls. Five times Sumit's number is 5x. "Karan has 6 balls more than five times" means 5x + 6 and that equals Karan's total, 36. So the equation is 5x + 6 = 36, which is option (a).
FAQs on Worksheet Question & Answers: Simple Equations
1. How do I check if my answer to a simple equation is correct?
Ans. Substitute your solution back into the original equation to verify both sides are equal. If the left side equals the right side after substitution, your answer is correct. This method works for all linear equations and catches algebraic mistakes instantly before submission.
2. What's the difference between solving equations with addition versus subtraction in Class 7 maths?
Ans. Addition and subtraction are inverse operations used to isolate variables. When a number is subtracted from the variable, add it to both sides; when added, subtract it from both sides. Both follow the same principle of maintaining equation balance while simplifying to find the unknown value.
3. Why do I have to do the same operation on both sides when solving simple equations?
Ans. Performing identical operations on both sides preserves the equation's balance. Simple equations represent equal quantities; changing only one side breaks this equality. This fundamental principle ensures the solution remains valid and mathematically sound throughout the solving process.
4. How can I tell if a simple equation has no solution or infinite solutions?
Ans. Most Class 7 simple equations have one unique solution. However, if simplification yields a false statement (like 0 = 5), there's no solution. If both sides become identical (like 3 = 3), infinite solutions exist. These cases appear rarely in Class 7 worksheets but are important for understanding equation behaviour.
5. What are common mistakes students make when solving linear equations in CBSE Class 7?
Ans. Frequent errors include forgetting to apply operations to both sides, mishandling negative numbers, and arithmetic mistakes during simplification. Students often rush through verification steps or incorrectly transpose terms. Using CBSE worksheet solutions and practising problems systematically helps identify and eliminate these recurring errors effectively.
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